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Finding the Fourth Proportional to 122,000.80, 183,308.40 and 77,648.80

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Solution

The fourth proportional to 122,000.80, 183,308.40 and 77,648.80 is: 116,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,000.80 : 183,308.40 = 77,648.80 : x
  2. Step 2: Convert to fraction form
    122,000.80/183,308.40 = 77,648.80/x
  3. Step 3: Cross multiply
    122,000.80x = 183,308.40 × 77,648.80
  4. Step 4: Simplify right side
    122,000.80x = 14,233,677,289.92
  5. Step 5: Solve for x
    x = 14,233,677,289.92/122,000.80
  6. Step 6: Final answer
    x = 116,668.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.